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Finding the Third Proportional to 237,864 and 369,504

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Solution

The third proportional to 237,864 and 369,504 is: 573,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,864 : 369,504 = 369,504 : x
  2. Step 2: Convert to fraction form
    237,864/369,504 = 369,504/x
  3. Step 3: Cross multiply
    237,864x = 369,504 × 369,504
  4. Step 4: Simplify right side
    237,864x = 136,533,206,016
  5. Step 5: Solve for x
    x = 136,533,206,016/237,864
  6. Step 6: Final answer
    x = 573,996.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.